212121121102020 has 72 divisors (see below), whose sum is σ = 692928995607576. Its totient is φ = 52214429809152.

The previous prime is 212121121102013. The next prime is 212121121102049. The reversal of 212121121102020 is 20201121121212.

212121121102020 is a `hidden beast` number, since 21 + 21 + 211 + 211 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12813192520704 + 199307928581316 = 3579552^2 + 14117646^2 .

It is a super-3 number, since 3×212121121102020³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212121121101984 and 212121121102002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45325023537 + ... + 45325028216.

It is an arithmetic number, because the mean of its divisors is an integer number (9624013827883).

Almost surely, 2^{212121121102020} is an apocalyptic number.

212121121102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121121102020 is an abundant number, since it is smaller than the sum of its proper divisors (480807874505556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212121121102020 is a wasteful number, since it uses less digits than its factorization.

212121121102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90650051781 (or 90650051776 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121121102020 its reverse (20201121121212), we get a palindrome (232322242223232).

The spelling of 212121121102020 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, twenty".